Answer:
equilibrium quantity = 7
equilibrium price = 107
Explanation:
Data provided in the question:
supply function, p = q² + 6q + 16 ........(1)
demand function is p = −7q² + 2q + 436
Now at equilibrium
Demand = Supply
Thus,
q² + 6q + 16 = −7q² + 2q + 436
or
q² + 6q + 16 + 7q² - 2q - 436 = 0
or
8q² + 4q - 420 = 0
or
2q² + q - 105 = 0
on solving for the roots of q
using the Quadratic Formula where
a = 2, b = 1, and c = -105
![[ x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }]](https://tex.z-dn.net/?f=%5B%20x%20%3D%20%5Cfrac%7B%20-b%20%5Cpm%20%5Csqrt%7Bb%5E2%20-%204ac%7D%7D%7B%202a%20%7D%5D)
a = 2, b = 1, and c = -105
Thus,
![[ q = \frac{ -1 \pm \sqrt{1^2 - 4(2)(-105)}}{ 2(2) }]](https://tex.z-dn.net/?f=%5B%20q%20%3D%20%5Cfrac%7B%20-1%20%5Cpm%20%5Csqrt%7B1%5E2%20-%204%282%29%28-105%29%7D%7D%7B%202%282%29%20%7D%5D)
![[ q = \frac{ -1 \pm \sqrt{1 - -840}}{ 4 }]](https://tex.z-dn.net/?f=%5B%20q%20%3D%20%5Cfrac%7B%20-1%20%5Cpm%20%5Csqrt%7B1%20-%20-840%7D%7D%7B%204%20%7D%5D)
![[ q = \frac{ -1 \pm \sqrt{841}}{ 4 }]](https://tex.z-dn.net/?f=%5B%20q%20%3D%20%5Cfrac%7B%20-1%20%5Cpm%20%5Csqrt%7B841%7D%7D%7B%204%20%7D%5D)
The discriminant ( b² - 4ac > 0)
so, there are two real roots.
Therefore,
![q = [\frac{ -1 \pm 29}{ 4 }]](https://tex.z-dn.net/?f=q%20%3D%20%5B%5Cfrac%7B%20-1%20%5Cpm%2029%7D%7B%204%20%7D%5D)
![[ q = \frac{ 28 }{ 4 } \; \; \; q = -\frac{ 30 }{ 4 }]](https://tex.z-dn.net/?f=%5B%20q%20%3D%20%5Cfrac%7B%2028%20%7D%7B%204%20%7D%20%5C%3B%20%5C%3B%20%5C%3B%20q%20%3D%20-%5Cfrac%7B%2030%20%7D%7B%204%20%7D%5D)
![[ q = 7 \; \; \; q = -\frac{ 15}{ 2 }]](https://tex.z-dn.net/?f=%5B%20q%20%3D%207%20%5C%3B%20%5C%3B%20%5C%3B%20q%20%3D%20-%5Cfrac%7B%2015%7D%7B%202%20%7D%5D)
since,
Quantity cannot be negative
Thus,
q = 7
therefore, substituting q in (1)
p = 7² + 6(7) + 16
or
p = 49 + 42 + 16
or
p = 107
Answer:
Graph file is attached
Explanation:
Point A, and B are the bundles available for Katrina to buy on this budget. Since she has already bought one unit of each she only has $60 left to spend. With these $60 she could either choose to buy 3 DVDs or 3 CDs or she could choose from point A and B. L represents budget line and point A and B represent bundles.
Answer:
d. Reduce average Inventory
Explanation:
Inventory turnover ratio represents how quickly an entity's inventory is converted into sales and cash is generated.
Inventory turnover in days is computed as;
= 
Inventory turnover ratio can be computed as:
= 
Average stock = 
wherein, Op stock = Opening stock
Cost of Goods Sold = Sales - Gross Profit
A reduction in the average inventory level would increase the inventory turnover ratio, and thus reduce the inventory conversion period from 80 days to a lower level.
Answer:
A Bond's current market value represented by
is the present value of a bond as on today. Present value of a bond is it's future cash flows in the form of coupon payments and principal repayment discounted at investor's expectation in the market also referred to as Yield to maturity(YTM).
Present value of a bond is given by the following equation,

where C= Annual coupon payments
YTM = Yield to maturity/ cost of debt/ market rate of return on similarly priced bonds
RV = Redemption value of bond
n = number of years to maturity
<u>a. A bond's coupon rate is higher than it's yield to maturity, then the bond will sell for more than face value.</u>
Hence, if the company pays more interest than what is paid in the market on similarly priced bonds, such bonds shall sell at more than their face value.
<u>b. If a bond's coupon rate is lower than it's yield to maturity, then the bond's price will increase over it's remaining maturity.</u>
Similarly, if a bond pays lower rate of interest than the market rate of interest on similarly priced bonds, the bond shall sell at lower than it's face value and the price will increase over the remaining life of such bonds.
H<span>e considered all of the following as male-dominated jobs except for taking care of cattle.
This job is either balanced between men and women, or is female-dominated completely, according to George Murdock. Based on his study, he concluded that men usually dominate in jobs such as pursuing sea mammals, hunting, and making weapons, whereas that is not the case with taking care of cattle.
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